crazy arrows crazy arrows - Logic Masters India

Sep 11, 2011 - digits correct within 110 minutes (after clicking on Claim Bonus). 4. Answer key for all sudokus is one row (left-to-right) and one column (top-to-.
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Logic Masters India September 2011 Sudoku Test

CRAZY ARROWS By Rohan Rao http://rohanrao.blogspot.com/

10th-11th September, 2011 INSTRUCTION BOOKLET Championship Page: http://logicmastersindia.com/M201109S/ Forum: http://logicmastersindia.com/forum/forums/thread-view.asp?tid=378

Rohan Rao http://rohanrao.blogspot.com/

Page 1

POINTS TABLE ARROW SUDOKU VARIANT 0-9 COUNT DIFFERENCE INCOMPLETE MISSING PARTED PRODUCT SKYSCRAPER SUM 1 SUM 2 SYMMETRIC WRONG TOTAL

POINTS 105 50 100 60 120 90 80 65 120 70 75 65 1000

INSTRUCTIONS 1. There are 12 sudokus. In all the sudokus, numbers 1 to 9 (0 to 9 in 0-9 Arrow Sudoku) occur exactly once in every row, column and 3x3 box. 2. TIME BONUS of 9 points per minute saved will be awarded only if ALL 12 sudokus are solved correctly within 110 minutes (after clicking on Claim Bonus). 3. TIME BONUS of 5 points per minute saved will be awarded if 11 sudokus are solved correctly AND 1 sudoku is submitted incorrectly with at least 14 out of 18 digits correct within 110 minutes (after clicking on Claim Bonus). 4. Answer key for all sudokus is one row (left-to-right) and one column (top-tobottom). 5. Online Solving will NOT be enabled due to the nature of the test.

Rohan Rao http://rohanrao.blogspot.com/

Page 2

SUM ARROW SUDOKU The number in a circle is the sum of numbers along its arrow. Numbers can repeat along an arrow. Two or more arrows from a circle must result in the same sum.





9 3



 6



7 8



9

   

9



4 5



1  5 7 4 3 9 2 6 8

8 9 6 3 2 4  7 2 1 6  5 8 3  1 4 5 9 7

Rohan Rao http://rohanrao.blogspot.com/

7 1 6 5 8 4 9 3 2

6 9 5



3 5  2 4 6 2  4 7 8 9 8 9 1  3 5  6 9 8 1 3  9 2 4 5 7 6 7  3 1 2 5 6 8 7 4  7 8 9 2  1 4 1 5 6 3  Page 3

0-9 ARROW SUDOKU Every circle contains two digits which forms a two-digit number (including ‘0’ in ten’s place). This number is the sum of numbers along its arrow. Numbers can repeat along an arrow. (NOTE: For Answer Key, you may enter the two digits of a circle in any order. For example, the answer key of Row 4 is 2903871645 OR 2930871645, both will be considered valid)

0 8

6 3 9

8 1 6

 4 8



 



4 6

 1 3

2  1 6

0 7 2 8 5 4 16 3 9 2 9 03 5 4 8  7 6 1 9 08 7 3 2  5 4 1 6 Rohan Rao http://rohanrao.blogspot.com/

4 2



4



6 5

6 3 2 8 09

5 1 4 7

5 9 8 1 1 07 2 6  5 7 4 8  7 1 6 4  6  3 1 2 2 4 3 09  3  5 2 4  09 6 7 8 8 5 09 3

1 2

34

9 0 5 7 8 6 1 2 Page 4

COUNT ARROW SUDOKU The number in a circle indicates the number of different digits along its arrow.

5 3 6 2 8 5 4

7 8

 2 6 1



1 5 6

9 2 5

9 2



6

8 5 2 1 3 4 7 9  6

9 3 5 4 7 8 2 6 1

2 8

5 6 1 8 4 7 9 2 3

3 7 9 5 2 1 6 8 4

4 2 8 9  6 3 1 7 5

Rohan Rao http://rohanrao.blogspot.com/

6 1 3 7 8 9 5 4 2

7 9 4 6 5 2 3 1 8

8 7

5 7 9

1 4  6 2 9 5 8 3 7

2 8 7 3 1 6 4 5 9

Page 5

DIFFERENCE ARROW SUDOKU The number in a circle is the difference of numbers along its arrow. All arrows will contain only two cells.



2 4 7 5 8



5 2



4 5

6

7

9 3

1



9 7 4 3 5 8 6 1 2

8  2 5 6 4 1 9  7 3

Rohan Rao http://rohanrao.blogspot.com/

8

 



3 9 2 8 6 5 7 4 1



 3 4

5 7 4 2 3

1 6 3 9  2 7 8 5 4

5

7

6 5 1 4 8  7 4 1 7 9 3  2 2 3 9 8 5 6 

2 5 9 7 1 6 4 3 8

4 3 1 2 8 9 5 6 7

7 8 6 5 3  4 1  2 9  Page 6

INCOMPLETE ARROW SUDOKU The number in a circle is the sum of the first ‘n’ digits along its arrow where ‘n’ is less than or equal to the length of the arrow.

4

7

2



9

3



6

1 2  7 5 6 2 9 1 3 5 4 8 5 6 3 4  5  8 9  3 5 2 3

4 8 3 1 6 9 2 5 7

5 9 6 8 7 2 4 1  3

7 3 8 6 1 2 1  4 7 3 1 9 2 5  4 5 6 3 2 9 8 1  9 2 4  3 5 7 4 8 9 7 5 8 6  8 2  6 3 7 6 4 9 1 5

Rohan Rao http://rohanrao.blogspot.com/

2 5  7 4 3 6 1 9 8

9 6 8 7 5 1 3 4 2

Page 7

MISSING ARROW SUDOKU The shape of the arrow is given, you need to identify its circle and tip such that the number in a circle is the sum of numbers along its arrow. Numbers can repeat along an arrow. The circle has to be at one of the ends. Each line represents EXACTLY one arrow.

4 1 9 8

7 6 1 8

8 9

6

7 2

5 1 6 1

4 2  3 8 9 6 5 1 7

1 7 6 2 5 4 8 9 3 

9 8 5 1  3 7 2 4 6

Rohan Rao http://rohanrao.blogspot.com/

8 6 4 5 2 9 7 3 1

8 2 9 5

5 7 3 9 1 2  3 7  6 4 8 1 9 6 2 5 4 8 

6 5 9 4 8 3 1 7 2

3 2  4 1 7 8 6 9 1 7 5 2  3  4 8 6 9 5 Page 8

PARTED ARROW SUDOKU The number in a circle is the sum of numbers along ALL its arrows. Numbers can repeat along an arrow.



8 7

9



 

7

 

 

5

9 2







7 1

9

4 7

4

6

7

6 9





9





8

 



6 2 4  3 5 8 7 9 1  5 7 8 9 6 4  2 3  1 9  3 1 8 7  2 4 5 6 3 7 1 6 9  5 2 8  4   3 7 1 8 4 6 9 2 5  7  1 5 4 8 9 3 6 2 8 5 7  3 9  1 6  2 4 3 4 6 5  2 8 1 9 7  5 8  3 1 9 2 6 4 7  

Rohan Rao http://rohanrao.blogspot.com/

Page 9

PRODUCT ARROW SUDOKU The number in a circle is the unit’s digit of the product of numbers along its arrow.

5 8

2 9 5 6

2 6

9 5







2 1



5



8 8

5 1 7 3

4 8 3 1 6 9 2 5 7

5 9 6 8 7 2 4 1 3

1 7

7 3 8 6 2 1 4 7 1 9  2 5 5  6 3 2 9 4 8 1  3 5 7 4 9 7 5 8  8 2 6 3 6 4 9 1

Rohan Rao http://rohanrao.blogspot.com/

4



8

1 3 4 9 2 8 6 7 5 

2 5 7  4 3 6 1 9 8

9 6 8 7 5 1 3 4 2

Page 10

SKYSCRAPER ARROW SUDOKU The number in a circle indicates the number of skyscrapers seen along its arrow. Each number represents the height of the skyscraper in that cell. If there are two (or more) skyscrapers of the same height along an arrow, only the first one is seen.

1 7

9



7



6 4



5 8 9 2



5 6 8

6 9 2 3 4 1 5 8 7

5

4 1 5 7 3  8 7 6 9 5  8 2 6  9 1 3 2  4

9 4 6 1 8 7 3 2 5

Rohan Rao http://rohanrao.blogspot.com/

8 3 6 4





3 8 5 4 2 9 1 7 6

7 2 1 5 3 6 4 9 8

3 7 4



 5 3

6

2 

8 3 4 9 7 5 2 6 1

5 1 6 9 7  8 2 6  1 4 3 7 8  5 4 3 9

Page 11

SYMMETRIC ARROW SUDOKU The number in a circle will be the sum of numbers along its arrow. You need to draw the arrows in the standard format passing through neighbouring cells. Arrows cannot overlap or intersect. No part of an arrow can go outside the grid. Numbers can repeat along an arrow. Every pair of 180-degree symmetric circles will have 180-degree symmetric arrows.

5

2 6

1

1 9

8

4

3 6

5

7 4

8

7 8 5

2 6

1

3

9 1 2 6 4 5 8 7 3 

6 1 3

2 6

5 8 3 7 9 2 4 6 1

Rohan Rao http://rohanrao.blogspot.com/

6 7 4  8 3 1  2 5 9

3 6 5 9 2 8 7 1 4

2 4 8 1 7 3 5 9 6

5

7 9 1 5 6 4 3 2 8

4 2 6 3  5 9 1  8 7

8 3 7 2 1 6 9 4 5

1  5 9 4 8 7 6 3 2

Page 12

WRONG ARROW SUDOKU The number in a circle is one more OR one less than the sum of numbers along its arrow. Numbers can repeat along an arrow.



9 4 2 1

7 9 4 3  9 6 4 7 9 7 1

3

4 1 8 7 3 2 5 9 6

Rohan Rao http://rohanrao.blogspot.com/

 2





7 9 4 6

9 2 3 1 5 6 8 7 4

5 3 7 4



7 6 5 8 4 9 2 3 1

6 5 7 3 1 4 9 2  8

1  8 9 2  6 5 7 4 3

2 3 4 9 8 7 1 6 5

8 1 9 7

8 5 9 7 1 6 6  4 7 2 3 1  4 3 5 8 2 9 

3 4 2 5 9 8 6 1 7 Page 13

CREDITS Some of the puzzle ideas were taken from: VARIANT Count Arrow Sudoku Incomplete Arrow Sudoku Missing Arrow Sudoku Product Arrow Sudoku

Rohan Rao http://rohanrao.blogspot.com/

IDEA TAKEN FROM Deb Mohanty Deb Mohanty Deb Mohanty WSC 2010, USA

Page 14